What is the general solution for sin(x)=(14.9)/(19.9725) ?

The general solution for sin(x)=(14.9)/(19.9725) is x=0.84207…+2pin,x=pi-0.84207…+2pin

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sin(x)=(14.9)/(19.9725)

sin (x) = \frac{14.9}{19.9725}

x = 0.84207 \dots + 2 πn, x = π - 0.84207 \dots + 2 πn

Degrees

x = 48.24728 \dots^{\circ} + 36 0^{\circ} n, x = 131.75271 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{14.9}{19.9725}

Apply trig inverse properties

sin (x) = \frac{14.9}{19.9725}

General solutions for

sin (x) = \frac{14.9}{19.9725}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{14.9}{19.9725}) + 2 πn, x = π - arcsin (\frac{14.9}{19.9725}) + 2 πn

x = arcsin (\frac{14.9}{19.9725}) + 2 πn, x = π - arcsin (\frac{14.9}{19.9725}) + 2 πn

Show solutions in decimal form

x = 0.84207 \dots + 2 πn, x = π - 0.84207 \dots + 2 πn

What is the general solution for sin(x)=(14.9)/(19.9725) ?
The general solution for sin(x)=(14.9)/(19.9725) is x=0.84207…+2pin,x=pi-0.84207…+2pin